**DECIMALS**

**EXERCISE – 8.6**

**EX 8.6 QUESTION 1.**

** Subtract:**

**(a) ₹ 18.25 from ₹ 20.75**

**(b) 202.54 m from 250 m**

**(c) ₹ 5.36 from ₹ 8.40**

**(d) 2.051 km from 5.206 km**

**(e) 0.314 kg from 2.107 kg**

**Solution:**

(a) ₹ 20.75 – ₹ 18.75

20.75

– 18.25

__________

2.50

___________

₹ 2.50

(b) 250 m – 202.54 m

250.00

– 202.54

___________

47.46

____________

47.46 m

(c) ₹ 8.40 – ₹ 5.36

8.40

– 5.36

_________

3.04

_________

₹ 3.04

(d) 5.206 km – 2.051 km

5.206

– 2.051

__________

3.155

__________

3.155 km

(e) 2.107 kg – 0.314 kg

2.107

– 0.314

_________

1.793

__________

1.793 kg

**EX 8.6 QUESTION 2.**

** Find the value of:**

**(a) 9.756 – 6.28**

**(b) 21.05 – 15.27**

**(c) 18.5 – 6.79**

**(d) 11.6 – 9.847**

**Solution:**

(a) 9.756

– 6.280

_________

3.476

_________

(b) 21.05

– 15.27

___________

5.78

____________

(c) 18.50

– 6.79

___________

11.71

___________

(d) 11.600

– 9.847

____________

1.753

____________

**EX 8.6 QUESTION 3.**

**Raju bought a book for ₹ 35.65. He gave ₹ 50 to the shopkeeper. How much money did he get back from the shopkeeper?**

**Solution:**

Money is given to shopkeeper = ₹ 50.00

Price of the book = ₹ 35.65

∴ Money left with Raju is

50.00

– 35.65

___________

14.35

___________

Hence, money left with Raju is ₹ 14.35

**EX 8.6 QUESTION 4.**

**Rani had ₹ 18.50. She bought one ice cream for ₹ 11.75. How much money does she have now?**

**Solution:**

Money with Rani = ₹ 18.50

Price of an ice cream = ₹ 11.75

Hence, money left with her is

18.50

– 11.75

__________

6.75

___________

∴ Money left with Rani is ₹ 6.75

**EX 8.6 QUESTION 5.**

**Tina had 20 m 5 cm long cloth. She cuts 4 m 50 cm length of cloth from this for making a curtain. How much cloth is left with her?**

**Solution:**

Length of cloth = 20 m 5 cm

= 20.05 m

Length of cloth to make a curtain = 4 m 50 cm

= 4.50 m

Thus the length of cloth left with her

20.05

– 4.50

________

15.55

________

∴ The length of the remaining cloth left with her = 15.55 m

**EX 8.6 QUESTION 6.**

**Namita travels 20 km 50 m every day. Out of this she travels 10 km 200 m by bus and the rest by auto. How much distance does she travel by auto?**

**Solution:**

distance travelled by Namita = 20 km 50 m

= 20.050 km

Distance travelled by bus = 10 km 200 m

= 10.200 km

Distance travelled by auto = Total distance travelled – Distance travelled by bus

∴ Distance to be travelled by auto

20.050

– 10.200

________

9.850

________

∴ Namita travelled 9.850 km by auto = 9.850 km.

**EX 8.6 QUESTION 7.**

**Aakash bought vegetables weighing 10 kg. Out of this, 3 kg 500 g is onions, 2 kg 75 g is tomatoes and the rest is potatoes. What is the weight of the potatoes?**

**Solution:**

Total weight of vegetables bought by Aakash= 10.000 kg

Weight of onions = 3 kg 500 g

= 3.500 kg

Weight of tomatoes = 2 kg 75 g

= 2.075 kg

Weight of potatoes =Total weight of vegetables bought (weight of onions + weight of tomatoes)

= 10.000 – (3.500 + 2.075)

3.500

+ 2.075

________

5.575

________

10.000

– 5.575

_________

4.425

_________

∴Weight of the potatoes = 4.425 kg.